Home / 1,823.03-2,735.87-727.71

Finding the Fourth Proportional to 1,823.03, 2,735.87 and 727.71

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Solution

The fourth proportional to 1,823.03, 2,735.87 and 727.71 is: 1,092.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.03 : 2,735.87 = 727.71 : x
  2. Step 2: Convert to fraction form
    1,823.03/2,735.87 = 727.71/x
  3. Step 3: Cross multiply
    1,823.03x = 2,735.87 × 727.71
  4. Step 4: Simplify right side
    1,823.03x = 1,990,921.78
  5. Step 5: Solve for x
    x = 1,990,921.78/1,823.03
  6. Step 6: Final answer
    x = 1,092.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.